14755070960289 has 81 divisors (see below), whose sum is σ = 23992891069329. Its totient is φ = 8731276258320.

The previous prime is 14755070960249. The next prime is 14755070960291. The reversal of 14755070960289 is 98206907055741.

The square root of 14755070960289 is 3841233.

It is a perfect power (a square), and thus also a powerful number.

14755070960289 is a `hidden beast` number, since 1 + 4 + 7 + 550 + 70 + 9 + 6 + 0 + 2 + 8 + 9 = 666.

It is not a de Polignac number, because 14755070960289 - 2⁹ = 14755070959777 is a prime.

It is a super-2 number, since 2×14755070960289² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14755070960249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5450708274 + ... + 5450710980.

Almost surely, 2^{14755070960289} is an apocalyptic number.

14755070960289 is the 3841233-rd square number.

14755070960289 is the 1920617-th centered octagonal number.

It is an amenable number.

14755070960289 is a deficient number, since it is larger than the sum of its proper divisors (9237820109040).

14755070960289 is an frugal number, since it uses more digits than its factorization.

14755070960289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 14755070960289 in words is "fourteen trillion, seven hundred fifty-five billion, seventy million, nine hundred sixty thousand, two hundred eighty-nine".